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Some hyperbolicity revisited and robust transitivity

Published online by Cambridge University Press:  23 June 2025

LUIS PEDRO PIÑEYRÚA*
Affiliation:
IMERL, Facultad de Ingeniería, Universidad de la República, Montevideo 11300, Montevideo, Uruguay

Abstract

In this article, we revisit the notion of some hyperbolicity introduced by Pujals and Sambarino [A sufficient condition for robustly minimal foliations. Ergod. Th. & Dynam. Sys. 26(1) (2006), 281–289]. We present a more general definition that, in particular, can be applied to the symplectic context (something that was not possible for the previous one). As an application, we construct $C^1$ robustly transitive derived from Anosov diffeomorphisms with mixed behaviour on centre leaves.

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Type
Original Article
Copyright
© The Author(s), 2025. Published by Cambridge University Press

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